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Finding the Third Proportional to 195,768 and 427,056

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Solution

The third proportional to 195,768 and 427,056 is: 931,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,768 : 427,056 = 427,056 : x
  2. Step 2: Convert to fraction form
    195,768/427,056 = 427,056/x
  3. Step 3: Cross multiply
    195,768x = 427,056 × 427,056
  4. Step 4: Simplify right side
    195,768x = 182,376,827,136
  5. Step 5: Solve for x
    x = 182,376,827,136/195,768
  6. Step 6: Final answer
    x = 931,596.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.